Questions
If energy (E), velocity (V) and time (T) are chosen as the fundamental quantities, the dimensional formula of surface tension will be
a
[EV-2T-1]
b
[EV-1T-2]
c
[EV-2T-2]
d
[E-2V-1T-2]
detailed solution
Correct option is C
Let surface tension [s] = [ExVyTz]We have [s] = [MT-2] [E] = [ML2T-2], [V] = [LT-1] and [T] = [T]⇒ [S] = [ML2T-2]x[LT-1]y[T]z[M1L0T-2] = [MxL2x+yT-2x-y+z]x = 12x+y = 0 ⇒y=-2⇒ -2×1 -(-2)+z = -2⇒z = -2Hence [s] = [EV-2T-2]Talk to our academic expert!
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